Cuboids are familiar objects you encounter in daily life numerous times. Cuboids are essentially boxes, formed exclusively from rectangles. These familiar shapes are also known as rectangular prisms.
Table of Contents
Definition of Cuboid
The cube is a 3D structure which is formed when 6 identical squares bind to each other in an enclosed form.
Remember
all cubes are cuboids, but not all cuboids are cubes
These 2 geometric figures have numerous similarities but only 1 difference.
Number of Faces, Edges, & Vertices of Cuboid
Both cubes & cuboids have 6 faces, 12 edges, & 8 vertices or corners. Each edge is shared by 2 faces. At each vertex, 3 faces join together.
Angles of Cuboid
Cubes & cuboids contain exclusively right angles.
A cuboid is a 3 dimensional shape.
Formulas for Volume & Surface Area
We need to know 3 measurements to measure the volume.
There are 3 different measurements:
Length, Width, Height
The formulas to find the volume & surface area of cubes & cuboids are the same.
To find the volume:
Simply multiply the height by the width by the length (or depth). So, the volume is found using the formula:
Volume = Length × Width × Height
Which is usually shortened to:
V = l × w × h
Or more simply:
V = lwh
To calculate the surface area:
- Find the product of 2 times the width times the length.
- Next, multiply 2 times the length times the height.
- Then, multiply 2 times the height times the width.
- Last, add all 3 products together.
In Any Order
It doesn’t matter which one is length, width or height, so long as you multiply all 3 together.
Example:
The volume is:
5cm × 3cm × 4cm = 60cm3
It also works out the same like this:
4cm × 3cm × 5cm = 60cm3
Note:
the result is in cm3 (cubic centimeters) because we have multiplied centimeters together 3 times.
Shape of Faces
The only 1 difference between cubes & cuboids is the shape of the 6 faces. Each face of a cube is a square with equal size. Each face of a cuboid is a rectangle, with at least four of these rectangles are identical.